The following numbers are not perfect squares. Give reason,
(i) 1057
(ii) 23453
(iii) 7928
(iv) 222222
(v) 64000
(vi) 89722
(vii) 222000
(viii) 505050
A number that ends either with 2, 3, 7 or 8 cannot be a perfect square. Also, a number that ends with odd number of zero(s) cannot be a perfect square.
(i) Since the given number 1057 ends with 7, so it cannot be a perfect square.
(ii) Since the given number 23453 ends with 3, so it cannot be a perfect square.
(iii) Since the given number 7928 ends with 8, so it cannot be a perfect square.
(iv) Since the given number 222222 ends with 2, so it cannot be a perfect square.
(v) Since the number 64000 ends in an odd number of zeros, so it cannot be a perfect square.
(vi) Since the number 89722 ends in 2, so it cannot be a perfect square.
(vii) Since the number 222000 ends in an odd number of zeros, so it cannot be a perfect square.
(viii) Since the number 505050 ends in an odd number of zeros, so it cannot be a perfect square.